Optimizers for the finite-rank Lieb-Thirring inequality

Rupert L. Frank, David Gontier, Mathieu Lewin

The finite-rank Lieb-Thirring inequality provides an estimate on a Riesz sum of the $N$ lowest eigenvalues of a Schrödinger operator $-\Delta -V(x)$ in terms of an $L^p({\mathbb{R}}^d)$ no…